An improved hybrid boundary node method for 2D crack problems

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• 作者：Fei Tan (1)
  Youliang Zhang (1)
  Yinping Li (1)
  
  1. State Key Laboratory of Geomechanics and Geotechnical Engineering ; Institute of Rock and Soil Mechanics ; Chinese Academy of Sciences ; Wuhan ; 430071 ; Hubei ; People鈥檚 Republic of China
  
• 关键词：Crack problems ; Stress intensity factors ; Displacement discontinuity method ; Hybrid boundary node method ; Iterative hybrid technique
• 刊名：Archive of Applied Mechanics (Ingenieur Archiv)
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：85
• 期：1
• 页码：101-116
• 全文大小：814 KB
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• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics
  Complexity
  Fluids
  Thermodynamics
  Systems and Information Theory in Engineering
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0681

文摘

The meshless hybrid boundary node method (HBNM) is a promising method for solving boundary value problems and is further developed and numerically implemented for 2D crack problems in this paper, in which the displacement discontinuity method (DDM) is introduced, and an iterative hybrid technique is employed. In this approach, the original problem is decomposed into two subsidiary problems, and the HBNM is used to model the finite domain of the body without crack, while DDM is utilized to represent the cracks. The results will be added and compared with the boundary conditions of the original problem. Iteration will be performed between the external boundaries and crack faces until all of the boundary conditions are satisfied. Thus, the advantages of the component methods are effectively combined. Numerical examples are given to illustrate the implementation and performance of the present method. It is shown that the high accuracy can be achieved with a small number of nodes, and the present iterative hybrid approach is very suitable for modeling complex multi-cracks and branched cracks problems and is also very easy to be extended to solve the crack propagation.